A Transiently Chaotic flow for free convection of a couple stress fluids in a rotating porous layer
Journal Title: International Journal of Engineering and Science Invention - Year 2018, Vol 7, Issue 7
Abstract
In this study, a dynamical system of Lorenz equation is discussed. The main aim of this paper is to demonstrate the possible convection regimes at supercritical values of the centrifugal Rayleigh number and evaluate the corresponding average rate of heat transfer for the problem of centrifugally driven convection of couple stress fluids in a porous layer placed at an offset distance from the axis of rotation. The solution to the non-linear dynamics is obtained by Galerkin technique. In a manner similar to the Lorenz formulation, single term Galerkin representations for the stream function is used. However, two terms are needed in the temperature expressions if some parts of the non-linearizes are retained. The system of ordinary differential equations was solved by using Adomian’s decomposition method. The critical Rayleigh number to chaos is obtained.
Authors and Affiliations
Kempe Gowda M
Keywords
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